Schilling, who will open a three-game series for Boston against the Cleveland Indians at Jacobs Field, has proven himself to be a big-game pitcher over his career.
He’ll get another chance to add to his resume if he can help Boston end its season-high three-game losing streak.
Boston, which leads the AL East, had won six in a row before getting swept by Texas over the weekend.
The Red Sox scored one run in the ninth inning but Felipe Crespo flied out with the bases loaded as Boston lost to the Rangers 4-1 on Sunday.
Schilling is off to a 3-1 start and is coming of his best outing of the season.
The veteran right-hander struck out eight, walked none and allowed five hits in 7 1-3 innings of a 6-0 win over the Tampa Bay Devil Rays on Wednesday.
Tampa Bay manager Lou Piniella was impressed by Schillings performance on the mound.
“I’d never seen him pitch,” Piniella said. “He’s very impressive.”
Schilling bounced back from his worst start with Boston, a 7-3 loss at Toronto on April 22 in which he gave up seven runs on 13 hits, including a grand slam to Chris Gomez in the eighth.
In his other three starts this season, he gave up at least six hits each time. His performance Wednesday lowered his ERA from 4.18 to 3.31.
The Indians have won two straight and four of their last five.
The final game of a three-game series between Cleveland and the Baltimore Orioles was postponed by rain Sunday.
“We wanted to play,” Indians manager Eric Wedge said, adding that scheduled starter Jake Westbrook will be moved back one day, but other rotation spots for an upcoming series against Boston were uncertain.
Westbrook has pitched well this season, but Wedge isn’t quite ready to put him in the rotation permanently.
“He’s pitched well, but it is not reasonable to expect him to keep doing that,” Wedge said.
Westbrook has allowed two hits in his last 16 innings, including a perfect seven innings of relief April 19 against Detroit.